HW 3.4 Dosages and Concentrations-Maria Huerta

pdf

School

Tidewater Community College *

*We aren’t endorsed by this school

Course

154

Subject

Statistics

Date

Apr 3, 2024

Type

pdf

Pages

2

Uploaded by ProfResolveKouprey29

Report
2/6/24, 9:55 PM HW 3.4 Dosages and Concentrations-Maria Huerta https://tdx.acs.pearsonprd.tech/api/v1/print/highered 1/2 Student: Maria Huerta Date: 02/06/24 Instructor: Dania Sinibaldi Course: Quantitative Reasoning O06B SP24 Assignment: HW 3.4 Dosages and Concentrations Two races that a student runs every year are the -mile race in his hometown and the -meter race in his college town. Complete parts (a) through (d) below. 5 1515 Student Other Students Hometown 35:10:59 38:49:10 College Town 32:56:00 36:56:53 Click the icon to view the conversion factors. 1 a. Complete the sentence. The college town race is ___% of the hometown race in length. To complete the sentence, put both distances into the same units, and then find the ratio. In this case, it might be easiest to convert both distances to feet since it is known that 1 meter 3.28084 feet and 1 mile 5280 feet, rounding to two decimal places as needed. = = ft. 5 mi • = 5280 feet 1 mi 26400.00 ft. 1515 m • = 3.28084 feet 1 m 4970.47 Find the ratio of the distance of the college town race to the distance of the hometown race, rounding to two decimal places as needed. . = 4970.47 ft 26400.00 ft 0.19 Then multiply by 100 to change it from a decimal to a percent. The college town race is % of the hometown race in length. 0.19 19 b. Consider the student's personal records shown in the table for the two races. What is the student's average speed in each race in miles per hour? To find the average speed in miles per hour, convert the student's time to hours. Begin by using the conversion 1 second 60 fractional seconds to convert seconds:fractional seconds : to decimal seconds, rounding to two decimal places. = = 10 59 + 10 = 59 60 10.98 Next, use the conversion 1 minute 60 seconds to convert minutes:seconds : to decimal minutes, rounding to two decimal places. = = 35 10.98 + 35 = 10.98 60 35.18 Finally, divide the answer by 60 to convert from minutes to hours. This is the amount of time it took, in hours, to run the race. Round to two decimal places. hrs = 35.18 60 0.59 To find the speed, divide the distance of the race by the time it took to run the race, rounding to two decimal places as needed. mi/hr = 5 mi 0.59 hr 8.47 To find the average speed during the college town race, take the time it took to complete the race and follow the steps above to figure out how many hours it took to run the race, rounding to two decimal places as needed. hr 32:56:00 = 0.55 The college town race was of the hometown race in length. So, the college town race was miles long. Divide this value by the amount of hours it took to run the race. This will give the average speed during the race in miles per hour, rounding to two decimal places as needed. 0.19 0.19 • 5 mi/hr = 0.19 • 5 miles 0.55 1.73
2/6/24, 9:55 PM HW 3.4 Dosages and Concentrations-Maria Huerta https://tdx.acs.pearsonprd.tech/api/v1/print/highered 2/2 1: Conversions Therefore, the student's average speed during the hometown race was mi/hr and the average speed during the college town race was mi/hr. 8.47 1.73 c. What is the average speed in each race in miles per hour for the other students? To solve this part, redo the previous steps using the other students' times from the table. Find the average speed in miles per hour for each race, rounding to two decimal places as needed. The other students' average speed during the hometown race was mi/hr, and the average speed during the college town race was mi/hr. 7.69 1.53 d. If the average speed for the college town race were run for the entire length of the hometown race, would the student beat his personal record? Answer for both the student and the other students. Compare the average speed run in either race. If the average speed run during the college race is greater than that of the hometown race, then running the hometown race at that particular speed will result in a better time. If the average speed run during the college race is less than that of the hometown race, then running the hometown race at that particular speed will result in a worse time. If the student runs the hometown race at the same average speed as in the college town race, he beat his personal record. If other students run the hometown race at the same average speed as in the college town race, they beat their record time. will not will not Use 1 meter 3.28084 feet and 1 mile 5280 feet to convert the distances. = = The times are given in minutes:seconds:fractional seconds. Use the conversion factors 1 minute 60 seconds and 1 second 60 fractional seconds to convert the given time into a decimal form. = =
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help